It takes max 1 minute and 45 seconds to run around a track once. it takes max 3 minutes to walk one lap on the same track. if max walks and runs around the track and completes 10 laps in 25 minutes, how many laps did he run? 3.5 4.0 4.5 5 6

Define x and y : let x be the number of laps he run.let y be the number of laps he walk.construct equations :   max completed 10 laps.⇒ x + y = 10max took 25 min to complete the 10 laps.⇒(60+45)x + (3x60)y = 25x60              // convert all minutes into seconds105x +180y = 1500                                // divide by 15 through7x + 12y = 100solve for x and y :   x + y = 10      (1)7x + 12y = 100    (2)from equation 1: x + y = 10x = 10 - ysub x = 10 - y into equation 2 : 7x + 12y = 100  7(10 - y) + 12y = 10070 - 7y + 12y = 1005y = 30y = 6sub y = 6 into equation 1 : x + y = 10x + 6 = 10x = 4find the laps : run = x = 4walk = y = 6  answer: he ran 4 laps.